Evaluation of an Infinite Series, Revisited

1. Nov 24, 2006

TMFKAN64

Since the forum seemed to chew up my post last time, I thought I'd give it another try...

I'm looking to evaluate a series of the form $$\sum_{n=0}^\infty \frac{1}{(n-f)^2}$$ where $$f$$ is a constant between zero and one.

I really have no clue where to start on this. I've seen series such as $$\sum_{n=0}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}$$ solved using a Fourier transform of $$x^2$$, but I can't see how to adapt this.

Any ideas or hints would be appreciated.